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Finding the Third Proportional to 312,402,178 and 650,661,694

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Solution

The third proportional to 312,402,178 and 650,661,694 is: 1,355,178,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,402,178 : 650,661,694 = 650,661,694 : x
  2. Step 2: Convert to fraction form
    312,402,178/650,661,694 = 650,661,694/x
  3. Step 3: Cross multiply
    312,402,178x = 650,661,694 × 650,661,694
  4. Step 4: Simplify right side
    312,402,178x = 423,360,640,038,949,632
  5. Step 5: Solve for x
    x = 423,360,640,038,949,632/312,402,178
  6. Step 6: Final answer
    x = 1,355,178,260.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.